Pith Number

pith:KLTBF2R3

pith:2011:KLTBF2R3O3LW3MOVAPF2X3SBKK

not attested not anchored not stored refs pending

Classifying Serre subcategories via atom spectrum

Ryo Kanda

arxiv:1112.6253 v2 · 2011-12-29 · math.RT · math.CT · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLTBF2R3O3LW3MOVAPF2X3SBKK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:45:41.688335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52e612ea3b76d76db1d503cbabee415295e9b0516a64a1c3e85fc95e257e9686

Aliases

arxiv: 1112.6253 · arxiv_version: 1112.6253v2 · doi: 10.48550/arxiv.1112.6253 · pith_short_12: KLTBF2R3O3LW · pith_short_16: KLTBF2R3O3LW3MOV · pith_short_8: KLTBF2R3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KLTBF2R3O3LW3MOVAPF2X3SBKK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 52e612ea3b76d76db1d503cbabee415295e9b0516a64a1c3e85fc95e257e9686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d88020555ab955976603ad1ba39830713f3ac874daa818c215a4d2089359d9",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-29T08:49:51Z",
    "title_canon_sha256": "1ce9d74e3294731b02605c7fd71bcc982e59fbeaeba28f16763a2b0712010339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6253",
    "kind": "arxiv",
    "version": 2
  }
}